Parameterization of the Lottery Model of Nonparametric Decision-Making Situation
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The paper focuses on the parametric description of a nonparametric decision-making situation, i.e., where it is impossible to reveal the objective parameter determining the consequences of decisions. For the case of strict uncertainty, the classes of matrix schemes containing those and only those schemes that can be used to model certain nonparametric situation are described and the formula for class cardinality is proved. The cases are established where there are grounds to choose the matrix scheme with the smallest, in its class, cardinality of the set of values of the parameter.
Keywordsstrict uncertainty decision making lottery scheme matrix scheme parameterization
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